If log(x + 3) – log(x – 5) = log 2, what is the value of x?

x = 2
x = 13
x = 5
x = -30
2. Please use the graph in the instructions to answer this question. The graph of f(x) is shown in the instructions. Which of the following functions represents f-1(x)?

f^(-1)(x) = (x-3) / 2
f^(-1)(x) = log base 2 x + 3
f^(-1)(x) = (x+3)/2
f^(-1)(x) = log base 2 (x + 3)

Question

If log(x + 3) – log(x – 5) = log 2, what is the value of x?
 	
	x = 2
	x = 13
	x = 5
	x = -30
2. 	Please use the graph in the instructions to answer this question. The graph of f(x) is shown in the instructions. Which of the following functions represents f-1(x)?
 	
	f^(-1)(x) = (x-3) / 2
	f^(-1)(x) = log base 2 x + 3
	f^(-1)(x) = (x+3)/2
	f^(-1)(x) = log base 2 (x + 3)

anonymous · Answer

there is a rule:         log(A) – log(B) = log(A times B)

anonymous · Answer

use this rule here, as your first step.
What do you get?

anonymous · Answer

idk what the answer is, we aren't up to that yet, are we?
Please apply the rule that I mentioned.